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Volumn 5, Issue 3, 2007, Pages 649-663

Seamless multiscale modeling via dynamics on fiber bundles

Author keywords

Fiber bundle; Multiscale modeling; Seamless

Indexed keywords


EID: 35348994455     PISSN: 15396746     EISSN: None     Source Type: Journal    
DOI: 10.4310/cms.2007.v5.n3.a7     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 17244374413 scopus 로고    scopus 로고
    • Concurrent coupling of length scales: Methodology and application
    • F.F. Abraham, J.Q. Broughton, N. Bernstein and E. Kaxiras, Concurrent coupling of length scales: methodology and application, Phys. Rev. B, 60, 2391-2402, 1999.
    • (1999) Phys. Rev. B , vol.60 , pp. 2391-2402
    • Abraham, F.F.1    Broughton, J.Q.2    Bernstein, N.3    Kaxiras, E.4
  • 4
    • 0142096515 scopus 로고    scopus 로고
    • Multiscale and Multiresolution Methods, Lect. Notes Comput. Sci. Eng, Springer, Berlin, 20
    • A. Brandt, Multiscale scientific computation: review 2001, in Multiscale and Multiresolution Methods, Lect. Notes Comput. Sci. Eng., Springer, Berlin, 20, 3-95, 2002.
    • (2002) Multiscale scientific computation: Review 2001 , pp. 3-95
    • Brandt, A.1
  • 5
    • 4243606192 scopus 로고
    • Unified approach for molecular dynamics and density-functional theory
    • R. Car and M. Parrinello, Unified approach for molecular dynamics and density-functional theory, Phys. Rev. Lett., 55, 2471-2474, 1985.
    • (1985) Phys. Rev. Lett , vol.55 , pp. 2471-2474
    • Car, R.1    Parrinello, M.2
  • 9
    • 85128805678 scopus 로고    scopus 로고
    • The heterogeneous multiscale methods
    • W. E and B. Engquist, The heterogeneous multiscale methods, Commun. Math. Sci., 1, 87-132, 2003.
    • (2003) Commun. Math. Sci , vol.1 , pp. 87-132
    • Weinan, E.1    Engquist, B.2
  • 10
    • 35348966343 scopus 로고    scopus 로고
    • W.E and B. Engquist, Multiscale modeling and computation, Notices Amer. Math. Soc., 50, 1062-1070, 2003.
    • W.E and B. Engquist, Multiscale modeling and computation, Notices Amer. Math. Soc., 50, 1062-1070, 2003.
  • 11
    • 35348963665 scopus 로고    scopus 로고
    • The continuum limit and QM-continuum approximation of quantum mechanical models of solids
    • W. E and J. Lu, The continuum limit and QM-continuum approximation of quantum mechanical models of solids. Commun. Math. Sci., 5, 679-696, 2007.
    • (2007) Commun. Math. Sci , vol.5 , pp. 679-696
    • Weinan, E.1    Lu, J.2
  • 13
    • 35349011127 scopus 로고    scopus 로고
    • Cauchy-Born rule and the stability of crystalline solids: Dynamic problems, Acta Math. Appl. Sin. Engl. Ser
    • in press
    • W. E and P.B. Ming, Cauchy-Born rule and the stability of crystalline solids: dynamic problems, Acta Math. Appl. Sin. Engl. Ser., in press.
    • Weinan, E.1    Ming, P.B.2
  • 14
    • 33846861564 scopus 로고    scopus 로고
    • Cauchy-Born rule and the stability of crystalline solids: Static problems
    • W. E and P.B. Ming, Cauchy-Born rule and the stability of crystalline solids: static problems, Arch. Ration. Mech. Anal., 183, 241-297, 2007.
    • (2007) Arch. Ration. Mech. Anal , vol.183 , pp. 241-297
    • Weinan, E.1    Ming, P.B.2
  • 16
    • 0003078083 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interaction
    • M.Z. Guo, G.C. Papanicolaou and S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interaction, Commun. Math. Phys., 118, 31-59, 1988.
    • (1988) Commun. Math. Phys , vol.118 , pp. 31-59
    • Guo, M.Z.1    Papanicolaou, G.C.2    Varadhan, S.R.S.3
  • 17
    • 85128858890 scopus 로고    scopus 로고
    • Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to perform system-level analysis
    • I.G. Kevrekidis, C.W. Gear, J.M. Hyman, P.G. Kevrekidis, O. Runborg and C. Theodoropoulos, Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis, Commun. Math. Sci., 1, 715-762, 2003.
    • (2003) Commun. Math. Sci , vol.1 , pp. 715-762
    • Kevrekidis, I.G.1    Gear, C.W.2    Hyman, J.M.3    Kevrekidis, P.G.4    Runborg, O.5    Theodoropoulos, C.6
  • 18
    • 34248575233 scopus 로고    scopus 로고
    • Mathematical analysis of multi-scale models of complex fluids
    • T. Li and P. Zhang, Mathematical analysis of multi-scale models of complex fluids, Commun. Math. Sci., 5, 1-51, 2007.
    • (2007) Commun. Math. Sci , vol.5 , pp. 1-51
    • Li, T.1    Zhang, P.2
  • 19
    • 33846040104 scopus 로고
    • The Thomas-Fermi theory of atoms, molecules and solids
    • E.H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and solids, Adv. Math., 23, 22-116, 1977.
    • (1977) Adv. Math , vol.23 , pp. 22-116
    • Lieb, E.H.1    Simon, B.2
  • 22
    • 34547284818 scopus 로고    scopus 로고
    • On projective integration methods and HMM-like integrators for systems with multiple time scales
    • E. Vanden-Eijnden, On projective integration methods and HMM-like integrators for systems with multiple time scales, Commun. Math. Sci.,5, 495-505, 2007.
    • (2007) Commun. Math. Sci , vol.5 , pp. 495-505
    • Vanden-Eijnden, E.1
  • 23
    • 0003135582 scopus 로고
    • Relative entropy and hydrodynamics of Ginzbug-Landau models
    • H.T. Yau, Relative entropy and hydrodynamics of Ginzbug-Landau models, Lett. Math. Phys., 22, 63-80, 1991.
    • (1991) Lett. Math. Phys , vol.22 , pp. 63-80
    • Yau, H.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.